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2164766394 = 237223231449
BaseRepresentation
bin1000000100000111…
…1011011010111010
312120212101112020010
42001001323122322
513413140011034
6554450242350
7104434132200
oct20101733272
95525345203
102164766394
11a10a5503a
12504b863b6
1328664647b
14167709070
15ca0ac3e9
hex8107b6ba

2164766394 has 144 divisors (see below), whose sum is σ = 5446828800. Its totient is φ = 571253760.

The previous prime is 2164766369. The next prime is 2164766411. The reversal of 2164766394 is 4936674612.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4821082 + ... + 4821530.

It is an arithmetic number, because the mean of its divisors is an integer number (37825200).

Almost surely, 22164766394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164766394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723414400).

2164766394 is an abundant number, since it is smaller than the sum of its proper divisors (3282062406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2164766394 is a wasteful number, since it uses less digits than its factorization.

2164766394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 2164766394 is about 46527.0501321543. The cubic root of 2164766394 is about 1293.6109381396.

The spelling of 2164766394 in words is "two billion, one hundred sixty-four million, seven hundred sixty-six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 49 62 69 93 98 138 147 161 186 217 294 322 434 449 483 529 651 713 898 966 1058 1127 1302 1347 1426 1519 1587 2139 2254 2694 3038 3143 3174 3381 3703 4278 4557 4991 6286 6762 7406 9114 9429 9982 10327 11109 13919 14973 16399 18858 20654 22001 22218 25921 27838 29946 30981 32798 34937 41757 44002 49197 51842 61962 66003 69874 72289 77763 83514 97433 98394 104811 114793 132006 144578 155526 194866 209622 216867 229586 237521 292299 320137 344379 433734 475042 506023 584598 640274 682031 688758 712563 803551 960411 1012046 1364062 1425126 1518069 1607102 1662647 1920822 2046093 2240959 2410653 3036138 3325294 4092186 4481918 4821306 4987941 6722877 7363151 9975882 11638529 13445754 14726302 15686713 22089453 23277058 31373426 34915587 44178906 47060139 51542057 69831174 94120278 103084114 154626171 309252342 360794399 721588798 1082383197 2164766394